Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
Answer:
12
Step-by-step explanation:
%100 of it makes 80 then %15 must be 12
Answer:
h(2) = 1
Step-by-step explanation:
2^2 is 4. 5(2) is 10. now we have 4 - 10 + 7. -6 + 7 = 1.
Hello!
To solve this, first say x = number of hours grading.
We can set up fractions to represent how much each one of them can grade in one hour. To do this, divide the number of essays by the number of hours it would take for them to grade them. Therefore, the professor would be able to grade 5/2 essays in one hour, and her assistant would be able to grade 7/3 essays in one hour.
Now, set up your equation.
5/2x + 7/3x = 40
Since x = number of hours spent grading, multiply that by the respective fractions we calculated earlier to get the number of essays they would grade in x hours. Set the equation equal to 40 as you are looking for 40 essays done.
Now, solve the equation. First, set a common denominator, add the two fractions together, then simplify.
5/2x + 7/3x = 40
15/6x + 14/6x = 40
29/6x = 40
x = 40/(29/6)
x = 40 * (6/29)
x = 240/29
x = about 8.3
Therefore, your answer is about 8.3 hours, or about 8 - 9 hours.
Hope this helps!